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Finding the Fourth Proportional to 3,562.48, 5,344.94 and 1,919.19

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Solution

The fourth proportional to 3,562.48, 5,344.94 and 1,919.19 is: 2,879.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.48 : 5,344.94 = 1,919.19 : x
  2. Step 2: Convert to fraction form
    3,562.48/5,344.94 = 1,919.19/x
  3. Step 3: Cross multiply
    3,562.48x = 5,344.94 × 1,919.19
  4. Step 4: Simplify right side
    3,562.48x = 10,257,955.40
  5. Step 5: Solve for x
    x = 10,257,955.40/3,562.48
  6. Step 6: Final answer
    x = 2,879.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.